On some new fixed point results in fuzzy b-metric spaces

被引：46

作者：

Rakic, Dusan ^{[1
]}

Mukheimer, Aiman ^{[2
]}

Dosenovic, Tatjana ^{[1
]}

Mitrovic, Zoran D. ^{[3
,4
]}

Radenovic, Stojan ^{[5
]}

机构：

[1] Univ Novi Sad, Fac Technol, Novi Sad, Serbia

[2] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia

[3] Ton Duc Thang Univ, Nonlinear Anal Res Grp, Ho Chi Minh City, Vietnam

[4] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam

[5] Univ Belgrade, Fac Mech Engn, Belgrade, Serbia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2020年 / 2020卷 / 01期

关键词：

Fixed point; Fuzzy metric space; Fuzzy b-metric space; THEOREMS;

D O I：

10.1186/s13660-020-02371-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper consists of several fixed point theorems in the fuzzy b-metric spaces. As an important result, we give a sufficient condition for a sequence to be Cauchy in the fuzzy b-metric space. Thus we simplify the proofs of many fixed point theorems in the fuzzy b-metric spaces with the well-known contraction conditions.

引用

页数：14

共 31 条

[1]

Babu G. V. R., 2017, NOVI SAD J MATH, V47, P133

[2]

Bakhtin I. A., 1989, Functional Analysis, V30, P26, DOI DOI 10.1039/AP9892600037

[3]

Banach S., 1922, Fundamenta Mathematicae, V3, P133, DOI [10.4064/fm-3-1-133-181, DOI 10.4064/FM-3-1-133-181]

[4]

Czerwik S., 1993, Acta Mathematica et Informatica Universitatis Ostraviensis, V1, P5

[5]